Answer:
7 + 6
5 + 11
Step-by-step explanation:
the lengths of the two shorter sides of a triangle must add up to more than the length of the third side.
3 + 4 = 7 ≤ 8 no
7 + 6 = 13 > 12 yes
5 + 11 = 16 > 13 yes
4 + 6 = 10 ≤ 12 no
4 + 6 = 10 ≤ 10 no
Answer:
cubic units.
Step-by-step explanation:
Let m represent length of the rectangular prism.
We have been given that the width of a rectangular prism is six times its length, so width of the prism would be
.
We are also told that the height is five times its length, so height of the prism would be
.
We know that volume of rectangular prism is height times width times length.



Therefore, the volume of the given rectangular prism would be
cubic units.
Answer:
Range = {-1, 1, 3}
Step-by-step explanation:
<u><em>The question asks for the range.</em></u>
The function given is

The domain is the set of 3 numbers:
Domain = {4,6,8}
We need to find the range.
First, the range is the set of all y-values for which the function is defined.
When we will be given the domain with a set of numbers, the range would be the numbers that we get when we evaluate the the function at those numbers.
So, we evaluate the function (y-values) at x = 4,6, and 8.
At x = 4:

At x = 6:

At x = 8:

Thus, the range is:
Range = {-1, 1, 3}
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Given the functions expressed as:

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
Get the composite function h(g(x))

Get the composite function g(h(x))

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Learn more on inverse functions here; brainly.com/question/14391067
The GCF is only 12 because 16 can't multiply a number that gives you 48 only 12.